If Islet Cell transplants are to become a reasonable treatment alternative for patients with type 1 diabetes, there must be knowledge about how the islet cells function after transplant {islet cells are responsible for making the insulin the body needs in order to control blood sugar). This knowledge would allow for improvements in the islet cell transplant procedure itself, as well as possible alterations of the immunosuppressive medications (drugs that prevent rejection) that are prescribed. There are two basic kinds of diabetes, type 1 (formally known as Insulin Dependent or Juvenile diabetes) and type 2 (formally known as Adult-Onset or Non-insulin dependent) diabetes. The patients in this study will be affected by type 1 diabetes. After the transplant, it is hoped they will no longer need insulin injections. It is possible patients may need to take pioglitazone and/or metformin, however, this will be prescribed in Project 1, if needed.